Rational Zeros and Solving Polynomial Functions

True or False:  If (7x + 4) is a factor of some polynomial function f, then 4/7  is a zero of the function. 

• True
• False

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

• ±1, 5, 1/2, 5/2
• ±1, 2, 5, 1/2, 5/2
• ±1, 5
• ±1, 2, 5, 1/2, 5/2, 2/5

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

• ±1, 7, 1/3, 7/3
• ±1, 7
• ±1, 3, 7, 7/3
• ±1, 3, 7, 1/3, 7/3

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ - 8x² - 23x + 30

• 3
• -1
• -10
• 1

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x³ + 2x² - 11x - 12

• -3
• -4
• 1
• 6

Find all rational zeros, one zero has been given.
f(x) = 2x³+5x²-6x-9;   -3

• -1,-3,-3
• -1,-3,3/2
• 3,3,3
• -3,2/3,-1

The degree of the polynomial determines the number of roots.

• True
• False

The largest exponent determines the degree of the polynomial.

• True
• False

• This is correct
• This is incorrect

-3x²+x+4=0
How many roots does this equation have?
Hint: Use the Fundamental Theorem of Algebra

• 2
• 1
• 0
• 4